The number 98241
98241 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 229. Divisors (16): 1, 3, 11, 13, 33, 39, 143, 229, 429, 687, 2519, 2977, 7557, 8931, 32747, 98241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
98241 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
98241 is composite. Its prime factorisation is
- 3
The divisors add up to 154560; without 98241 itself that is 56319, so 98241 is deficient (56319 is less than 98241). Euler's totient φ(98241) = 54720 numbers up to 98241 share no factor with it.
- 4
The digits of 98241 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98241 = 3 \times 11 \times 13 \times 229 \]
98241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 154560 |
| Euler totient φ(n) | 54720 |
| Square | 9651294081 |
| Cube | 948152781811521 |
| Square root | 313.434204 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.8241 × |
98241 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand two hundred and forty-one |
| Binary (base 2) | 10111111111000001 |
| Octal (base 8) | 277701 |
| Hexadecimal (base 16) | 17FC1 |
| Base 3 | 11222202120 |
| As time | 98241 seconds = 27 h 17 min 21 s |
Is 98241 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (98241 ÷ 3 = 32747) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (98241 ÷ 11 = 8931) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98241 a prime number?
No. 98241 = 3 × 11 × 13 × 229, so it is divisible by 3.
What are the factors of 98241?
1, 3, 11, 13, 33, 39, 143, 229, 429, 687, 2519, 2977, 7557, 8931, 32747, 98241.
What is 98241 in binary?
10111111111000001 (hexadecimal 17FC1, octal 277701).
What is the square root of 98241?
About 313.4342.
Is 98241 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 98241?
It is a composite number with 16 divisors.